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Finding the Fourth Proportional to 16,250.96, 24,380.10 and 5,158.02

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Solution

The fourth proportional to 16,250.96, 24,380.10 and 5,158.02 is: 7,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250.96 : 24,380.10 = 5,158.02 : x
  2. Step 2: Convert to fraction form
    16,250.96/24,380.10 = 5,158.02/x
  3. Step 3: Cross multiply
    16,250.96x = 24,380.10 × 5,158.02
  4. Step 4: Simplify right side
    16,250.96x = 125,753,043.40
  5. Step 5: Solve for x
    x = 125,753,043.40/16,250.96
  6. Step 6: Final answer
    x = 7,738.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.